Question
Fri February 13, 2009 By: Renu Suresh

Without actually solving find which is smaller Cube root of 5 or 6th root of 10?

Expert Reply
Fri February 13, 2009

(5 ) 1/3  ===>   taking log we get  1/3 log 5

(10) 1/6 ===> taking log we get  1/6 log 10 = 1/6 log 2 + 1/6 log 5

as 1/6 log 2 < 1/6 log 3  so   (5 ) 1/3  > (10) 1/6

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